Question

racionalize.
A)
$\frac{x}{2 \sqrt{y} }$
.................
B)
$\frac{3 + \sqrt{2} }{ \sqrt{2} }$
................
C)
$\frac{2 \sqrt{3} }{5 \sqrt{2} }$
...............

D)
$\frac{5}{x - \sqrt{y} }$
...............

E)
$\sqrt{ \frac{5}{9} }$
..............

F)
$\frac{1}{3 + \sqrt{6} }$
​

Answer 1

Resposta:

$A) \\ \frac{x}{2 \sqrt{y} } \times \frac{ \sqrt{y} }{ \sqrt{y} } = \frac{x \sqrt{y} }{2y} \\ \\ </p><p>B)\frac{3 + \sqrt{2} }{ \sqrt{2} } \times \frac{ \sqrt{2} }{ \sqrt{2} } = \frac{3 \sqrt{2 } + 2 }{2} \\ \\ C) \\ \frac{2 \sqrt{3} }{5 \sqrt{2} } \times \frac{ \sqrt{2} }{ \sqrt{2} } = \frac{2 \sqrt{6} }{10} \\ \\ D) \\ \frac{5}{x - \sqrt{y} } \times \frac{x + \sqrt{y} }{x + \sqrt{y} } = \frac{5x + 5 \sqrt{y} }{ {x}^{2} - y}\\ \\ E) \\ </p><p>\sqrt{ \frac{5}{9} } \times \sqrt{ \frac{9}{9} } = \frac{ \sqrt{45} }{9}$